胶子散射的非线性玻色子扩散方程的精确解

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-06-16 DOI:arxiv-2406.11017

L. Möhringer, G. Wolschin

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引用次数: 0

摘要

本文提出了非线性玻色子扩散方程（NBDE）的精确解析解。它说明了在传输系数不变的情况下，通过非弹性和弹性碰撞向玻色-因斯坦平衡分布的时间演化。作为目前一个有趣的应用，研究了相对论重离子碰撞中的胶子散射。通过相对论能量下 Pb-Pb 碰撞中的保数弹性散射，给出了在过占系统中与时间有关的胶子凝聚物形成的估计。

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Exact solution of the nonlinear boson diffusion equation for gluon scattering

An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb-Pb collisions at relativistic energies is given.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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